Here you will find a concise collection of quadratic applications practice problems. Visit this page directly at hunkim.com/quadraticapplications
- Height (in metres) is a function of time (in seconds). On planet Z, models your height jumping off a cliff into water.
- What is your initial height?
- When do you reach your maximum height?
- What is the maximum height that you achieve?
- After you jump, for how long are you above the height of 6 metres?
- When do you land in the water?
- You have 250 m of fencing. Find the maximum possible rectangular area.
- You have 1000 feet to fence off your plot of land which is adjacent to a lake. Fencing is only used on three sides of your rectangular property because of the water.
- What dimensions should be used to maximize the area of your land?
- What is the minimum possible area?
- See diagram below:
You have 1200 m of fencing to enclose two adjacent rectangular regions of equal lengths and widths as shown in the diagram below. What is the maximum area that can be enclosed by the fencing? - You sell 3000 phone cases each month at a price of $20 each. For each $1 price increase, you sell 100 less phone cases.
- What price should you set to maximize revenue?
- What is the maximum revenue?
- How many phone cases are sold when revenue is maximized?
- You have 300 m of fencing. Find
and
to maximize the area of the yard.
- The shortest cable in the bridge below is . Find length .
- Two cars are travelling along two straight roads which are perpendicular to each other and meet at the point , as shown in the diagram. The first car starts 20 km west of and travels east at a constant speed of 10 kph. The second car starts 50 km north of at the same time and travels south at a constant speed of 5 kph.
- Write a formula that expresses the relationship between
the distance between the two cars. There is no need to do any algebra.
- Use desmos.com find find out when the distance between these cars are minimized.
- Write a formula that expresses the relationship between